Statistical Evaluation of Approximate Methods for Estimating Maximum Deformation Demands on Existing Structures
Publication: Journal of Structural Engineering
Volume 131, Issue 1
Abstract
A statistical study is presented to evaluate the accuracy of five approximate methods that have been proposed in the past to estimate the maximum inelastic deformation demand on existing structures. Three are based on equivalent linearization in which the inelastic deformation is approximated by the maximum deformation of an equivalent linear elastic system having lower lateral stiffness and larger viscous damping with respect to the preyielding properties of the inelastic system. In the equivalent linear methods evaluated here the equivalent period and equivalent damping ratio are computed as a function of the maximum deformation through the displacement ductility ratio. The other two methods estimate the maximum inelastic deformation of a system by modifying its maximum elastic deformation through a displacement modification factor. Modification factors depend on the initial period of vibration and its lateral strength. A relatively large number of earthquake ground motions recorded on sites having average shear wave velocities higher than are used to calculate error statistics. For each method mean errors and standard errors, as well as probability of underestimating or overestimating inelastic deformations, are presented and discussed.
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Acknowledgments
Jorge Ruiz-García is greatly acknowledged for supplying the results of nonlinear response history analysis that are used here to evaluate the accuracy of approximate methods. Some of the analyses reported here were conducted as part of the ATC-55 Project: “Evaluation and Improvement of Inelastic Analysis Procedures” of the Applied Technology Council with funding from the Federal Emergency Management Agency. The Scientific Research and Technical Council of Turkey provided partial financial support to the first writer during his postdoctoral stay at Stanford.
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 131 • Issue 1 • January 2005
Pages: 160 - 172
Copyright
© 2004 ASCE.
History
Received: Dec 18, 2002
Accepted: Jun 2, 2004
Published online: Jan 1, 2005
Published in print: Jan 2005
Notes
Note. Associate Editor: Andrei M. Reinhorn
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